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Finding the Fourth Proportional to 665,662,285.80, 998,493,428.70 and 447,984,052.20

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Solution

The fourth proportional to 665,662,285.80, 998,493,428.70 and 447,984,052.20 is: 671,976,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,662,285.80 : 998,493,428.70 = 447,984,052.20 : x
  2. Step 2: Convert to fraction form
    665,662,285.80/998,493,428.70 = 447,984,052.20/x
  3. Step 3: Cross multiply
    665,662,285.80x = 998,493,428.70 × 447,984,052.20
  4. Step 4: Simplify right side
    665,662,285.80x = 447,309,132,284,097,792
  5. Step 5: Solve for x
    x = 447,309,132,284,097,792/665,662,285.80
  6. Step 6: Final answer
    x = 671,976,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.